You are here:

Geometry/Questions Answered by Expert Scott A Wilson

SubjectDate Asked
Intersections1/16/2012
  Q: Can 4 line segments have just 2 intersecting points? Can 2 circles have just 1 intersecting point? ...
  A: Can 4 line segments have just 2 intersecting points? A line segment is a piece of a line. Draw one ...
Derivation of formula of frustum of a cone1/10/2012
  Q: Sir can you please tell me the derivation of the total surface area,the curved surface area of the ...
  A: It is known that the slanted surface area of a cone is pi*s*r, where pi is 3.14159265..., s is the ...
8th grade made1/7/2012
  Q: ben and glen are practicing short golf shots. they are aiming for a flag that is 110 yards away. ...
  A: Since if the shots are between 105 and 115 they are considered to be accurate, these need to be the ...
geometry1/2/2012
  Q: Find the equation of the locus of a point which moves so that its distance from (4, -3) is always ...
  A: A point on the curve is (x,y). The distance from (4,-3) to (x,y) is √[(x-4)²+(y+3)²] and the ...
Geometry1/1/2012
  Q: Prove that if three straight lines intersect two by two , they are either coplanar or concurrent.
  A: If the three straight lines are AB, CD, and EF, with points of intersection x on AB and CD, y on CD ...
help help help12/28/2011
  Q: how do you find logical conclusion of m -> n and ~m -> s are true, then which statement is a logical ...
  A: Draw a circle and label it m. Since m -> n, n must be inside the circle, so make a smaller circle ...
trigo12/28/2011
  Q: prove 3cos a - cos 3a = 2 cos a cos 2a + 4 sin A sin 2a sir, please help me.thanks
  A: Use the formula cos 3a = cos 2a cos a - sin 2a sin a. Once this has been done, use sin 2a = 2 sin a ...
Geometry Homework I do not know where to start!12/4/2011
  Q: Use similar triangles to prove that any two medians of a triangle intersect at a point that divides ...
  A: For the 1st one, I know how to do it if it is an equilateral triangle. The angles are all 60°. ...
math12/3/2011
  Q: 125 small congruent cubes are combined to build a large cube. all of the faces of the large cube are ...
  A: There are 125 cubes, and 125 = 5*5*5, so each edge if 5 cubs long. The number with 3 faces painted ...
Angles of depression12/2/2011
  Q: From a point on the North Rim of the Grand Canyon to a point on the South Rim, a surveyor measures ...
  A: If the angle is 3°, and we call the height h with the other side being 10 miles, we have a slight ...
Octogon prism lenght11/30/2011
  Q: I have an octogan with the radius 3,5cm which means that the sides of the base are 2,9cm. I now want ...
  A: Sorry, but I'm from the US. I think are comma (,) and period (.) are the opposite of yours. The ...
elementry algebra11/27/2011
  Q: graph this -x+y=5
  A: Put the equation in the proper form, as in y = mx + b. For this one, just add x to either side, ...
Surface Area11/25/2011
  Q: Prove this statement(by using geometry). Statement: If y=mx+c with a<=x<=b is revolved about x-axis. ...
  A: This sounds like we are generating a cyllinder with the center on the x-axis. It is known that the ...
triangles11/23/2011
  Q: let's say we have a triangle called ABC, this is an acute triangle. there are altitudes drawn from ...
  A: Yes. Lets put A at (-1,0) and B at (1,0). The point C must be chosen at (0,y) so that the distance ...
mathematics11/14/2011
  Q: sir which is greater 7i or 2i?
  A: Greater than signs are used for real nuumber. As far as magnitude goes, 7i has magnitude 7 and 2i ...
Tables11/11/2011
  Q: my question is; The table below uses the linear equation y = -3x - 5 Then there's a table. X| -4 ...
  A: If y = -3x - 5 is given, looking at the x value being -4 gives -3(-4) - 5 = 12 - 5 = 7, and that is ...
Geometry11/8/2011
  Q: Direct Proofs...Given: ABCD is a line segment and line AC is congruent withline BD. Prove line AB is ...
  A: It is known that both line segments contain BC; let L(xy) be the length of xy. It is known L(AB) + ...
Proving Lines Parallel11/1/2011
  Q: The above picture is a crude paint drawing of what I need to do a proof. I have no idea where to ...
  A: Given angles 3 and 6 are right angles, since the lines are perpendicular at these points, and given ...
Geometry10/6/2011
  Q: Is it possible to use the Law of Detachment to make a conclusion of this question. If three points ...
  A: Using the Law of Detachment, we can say that X, Y, and Z or collinear since they meed the condition ...
Geometry10/6/2011
  Q: Please help me with this question. A flower vase is in the form of an open cylinder of base radius ...
  A: The surface area I will assume to be the outside of the cyllinder, for the bottom is not on the ...
Triangle question10/5/2011
  Q: Hope you can help me. I am trying to figure out what the legs are on a triangle. I know the ...
  A: It must be known what the angle is. If it is 45°, then both sides are the same, and that is ...
Geometry10/4/2011
  Q: Find the angles of triangle ABC if m<A,m<B,m<C is 2:3:5?
  A: It is known that the sum of the angles in a triangle is 180. This means that is we take m<A = 2x, ...
Geometry10/4/2011
  Q: Please help me with this question. The height and volume of a solid cylinder are 4x cm and π ...
  A: The height is 4x cm and the volume is π(15x^3 + 48x^2 + 36x)cm3. ai) Since the volume V = ...
Year 12 Further Mathematics - Trigonometry9/28/2011
  Q: Today you answered most of my questions, but you forgot to find the area and perimetre of the ...
  A: I'm not sure what a trapezium is. The area of a trapezoid of width W with sides A and B that are ...
Year 12 Further Mathematics - Trigonometry9/26/2011
  Q: I would very much like if you could answer the following questions I have before the end of today ...
  A: 1. A hiker walks 3.2 km on a bearing of 120 degrees and then takes a bearing of 055 degrees and ...
Length of a chord9/22/2011
  Q: I have a horizontal cylinder, length L radius r. If I know it is 90% full, what is the area of the ...
  A: This picture is a crosss-section of what is filled. A is the measure of the radius to the edge of ...
Geometry - Complement & Supplement9/15/2011
  Q: I need assistance setting up the below geometry problem: The angle must have a complement and three ...
  A: The angle has measure A. To have a complement, 0 <= A <= 90. The supplement is 180 - A. If 3/4 of ...
Finding Endpoints9/14/2011
  Q: find the other endpoint of the line segment with the given endpoint and midpoint. endpoint (8,2) ...
  A: THe midpoints is halfway between the two endpoints. If the other endpoint is (x,y), then (8+x)/2 = 3 ...
tangent9/10/2011
  Q: plzzzzzz tell me how to find equation of tangent to any conic section from a point outside it.
  A: If the function is f(x) = Ax^n, the slope at x0 is nA(x0)^(n-1) and the point of intersection is ...
Geometry9/4/2011
  Q: ABC is a right-angled triangle which is right-angled at vertex B. Point M is the mid-point of AC and ...
  A: If D is the midpoint of BC, E were the midpoint of AB and F were the midpoint of AC, it would seem ...
circular functions7/30/2011
  Q: a solution of the equation sin(7x)= acos(7x) is 3pi/4. What is the value of a? thank you :)
  A: Since the value of x is 3pi/4, the value of 7x is 21pi/4. Since there are 2pi degrees in a circle, ...
Geometry7/26/2011
  Q: "Hello sir ! I have 3 questions!! 1)Triangle ABC is equilateral.P is any point inside the ...
  A: I can answer 2, but I've thought about 1 and 3, coming up with no way to show it. Note that on 3, ...
Pi7/4/2011
  Q: It's a known fact that the exact value of pi cannot be known. Pie is also equal to the ...
  A: The distance will be a real number, but it can't be expressed as a fraction. It is known that pi can ...
3D vector6/29/2011
  Q: If r= (x,y), r1=(x1,y1) and r2= (x2,y2), describe the set of all points (x,y) such that l r - r1 l + ...
  A: If r=(x,y), r1=(x1,y1), and r2 = (x2,y2), an ellipse is the set of all the points where the ...
Given an Arc's length, how does its height vary with its width ?6/24/2011
  Q: I want to form an arc from a sheet of plywood. The plywoods length will be the length of the arc ...
  A: It sounds like you're trying to cut letters out of plywood, one letter per piece. It sound like the ...
Geometry6/18/2011
  Q: Wilson, I've been struggling with this math problem and simply cannot get the answer. Thanks I need ...
  A: The equation for the volume of a conve is V(r,h) = pi*r²h where r is the radius and h is the ...
Constant width curves6/9/2011
  Q: Could you please settle an argument between the Doctor I work for and myself. The Doctor claim's ...
  A: I believe this is true, but that is the most common place the radius and diameter are used. Perhaps ...
Constant width curves6/8/2011
  Q: Could you please settle an argument between the Doctor I work for and myself. The Doctor claim's ...
  A: Radius: The radius of a circle is defined to be the distance from the cener to the edge. Diameter: ...
trigonometry6/4/2011
  Q: I uploaded my question in .png format
  A: For 1, sexagesimal uses 60 as the base and centesimal uses 100 as the base. I don't follow, for it ...
triangles and trigonometry.6/1/2011
  Q: I need to find the missing length of a side on a triangle that is not a right triangle. im ...
  A: Use the law of sines, which says a/sin(A) = b/sin(B) = c/sin(C). The sides used are the ones ...
geometry question5/18/2011
  Q: The two equal legs of an isosceles triangle are each 8 cm longer than the base of the triangle. Let ...
  A: If the legs are of equal length and each is 8 cm longer than the base, that means the length of the ...
Solving for x5/15/2011
  Q: (64x^2)/(1+x^2)= 4^2 Does x equal 2/3? I canceled out the x^2 and was left with 64= 4^2. so i ...
  A: The x^2 terms can't be cancelled, for this would leave 64/[(1/x^2) + 1] = 16. However, that is a ...
Finding the exact value for trig identities5/14/2011
  Q: Find the exact value of the trig function Given: Sin A = 3/5 and Sin B = -5/13 and A and B are in ...
  A: Use tan(x) = sin(x)/cos(x). Once this has been done, sin(A-B) = sinAcosB - sinBcosA and cos(A-B) = ...
Turn rate determined by math function5/1/2011
  Q: I'm creating a hobby level robot. I have two motors and I control the turn rate by varying the ...
  A: EQUATION In polar coordinates, a sprial is given by r = a + bΘ where r is the radius and Θ ...
analytical geometry4/26/2011
  Q: the product of slopes of 2 perpendicular lines is -1 then is the product of slopes of x and y axes ...
  A: Slope is given by two points on a line. When the two points are (x1,y1) and (x2,y2), the slope is ...
Geometry4/22/2011
  Q: I learnt in my juniour sections that two triangles are said to be congruent if they satisfy the ...
  A: That is since if any of these conditions are true, it can be shown that two triangles are congruent ...
Geometry4/19/2011
  Q: When a transversal cuts a pair of parallel lines , why the corresponding angles are equal . For ...
  A: After drawing out what was talked about, I found someone who presents the subject very well. He is ...
Trigonometry4/17/2011
  Q: Sir , can you please teach me how are the values of sine , cosine and tangent functions for ...
  A: In the attatched image, the top angle is B, the lower left angle is A, and the right angle is C. The ...
Math4/15/2011
  Q: Hey I need to know how to graph a line using only the slope which is 2 and y- intercept which is -3
  A: A line can be written as y = mx + b, where m is the slope and b is the y-intercept. Since we are ...
Volume and Area of Solids4/14/2011
  Q: How do you find the lateral area of a triangular prism when square roots are involved? Like 3 square ...
  A: According to http://en.wikipedia.org/wiki/Triangular_prism a triangular prism has the top and bottom ...
geometry4/10/2011
  Q: triangle ABC is inscribed in circle O, if <B congruent to <C. prove that Arc ABC = Arc ACB
  A: It is known that if two angles in a circle are equal, the length of the arc's are also equal. That ...
Can you answer this?4/8/2011
  Q: A line with an angle of inclination of 45 degrees passes through (-5/2 , -9/2). If the ordinate of ...
  A: The x coordinate of a point is the abcissa and the y coordinate is the ordinate. Since the line is ...
Math3/31/2011
  Q: Find the lateral area of a rectangular prism that is 20cm long, 5cm wide, and 13cm tall.
  A: I believe the lateral surface area is all the area except the base. That is, the four sides and the ...
word problem involving are and perimeter3/29/2011
  Q: The length of a rectangle is four times its width. If the perimeter of the rectangle is 100m , find ...
  A: Let the length of a rectangle is x and the width is y. The area is xy and the perimeter is 2x+2y. ...
Circle and Pi3/18/2011
  Q: Why is any circle's circumference is always 3.14 times greater than its diameter? I mean when you ...
  A: A circle can be thought of as being similar to a regular polygon. If an equilateral triangle has ...
Triangles3/18/2011
  Q: In a triangle ABC ,AD is perpendicular to BC, b>c , C=23 degrees and AD=abc/b^2-c^2.Find angle B.
  A: Is this suppose to say, "In a triangle ABC, AB is perpendicular to BC, b>c, C=23° and ..."? What is, ...
Maths Geometry3/13/2011
  Q: PA and PB are the two tangents of circle with centre O. If angle APB is equal to 120 degree then ...
  A: If APB is 120°, and since APO is congruent to BPO, this makes both angles 60°. Since PA is tangent ...
Math3/2/2011
  Q: What formula do you use to figure out Sqft.of a 35ft. radis. as a half circle like an entrance to a ...
  A: The area of a circle is pi*r^2, so a half-circle has area pi(r^2)/2. Since 35^2 is 1225, the area is ...
Volume of a Triangular Prism2/15/2011
  Q: I am supposed to find the volume of a triangular prism. I know the formula for it but it involves ...
  A: I am sending along a drawing of a triangle, sides of length 1. Each of the six triangles that are ...
Integers on a Circle1/31/2011
  Q: It is me again. Thanks for the pervious answer. Can you please help on this one? PS see the attched ...
  A: I can say that the points on the circle are integers are (-3,-4), (-4,-3), (-3,4), (4,-3), (3,-4), ...
trapezium1/9/2011
  Q: in a trapezium prove that the sum of squares of diagonals is equal to sum of squares of non-parallel ...
  A: Draw one diagonal, and this can be seen to divide the triangle into two triangles. Between n1 and ...
Trig1/3/2011
  Q: x^3-6x^2-10x
  A: An x can factor out, giving x(x² - 6x - 10). To find the factors of x² - 6x - 10, use the quadratic ...
Length of a Chord1/1/2011
  Q: If a circle is divided equally in to X parts, what is the length of X Chord? How can I get the ...
  A: It is given that the radius is 10" and the circle is divided into 11 parts. Are these equal parts? ...
Length of a Chord1/1/2011
  Q: If a circle is divided equally in to X parts, what is the length of X Chord? How can I get the ...
  A: Give the cirle radius 1. For a figure with x equal sides, the figure can be divided into x ...
geometry11/30/2010
  Q: given line m.what is the number of points at a fixed distance d from m and also equidistant from two ...
  A: I believe I've got it. We have a line m, so lets turn it so it is vertical. If we have a set of ...
Find circumference of cirlce with area11/16/2010
  Q: How do I find circumference of circle only knowing the area?
  A: I will use sqrt() for the squareroot. Both the circumference and the area of a circle have ...
Angle Bisecting-Respectively11/15/2010
  Q: If lines DA and DB bisect angleBAF and angleABE respectively what does that mean? Imagine the ...
  A: I'll send a picture of what I think it looks like. In the triangle ABC, we know that the angles at A ...
geometry11/9/2010
  Q: How to find the area of a square with radius 17ft?
  A: If 17' is the distance from the center of the square to the center of a side, then that 17' is half ...
Algebra and Geometry11/7/2010
  Q: First, Can you tell me what complements and supplements are? Second, "if I have 6 times the number ...
  A: The complement of an angle is the angle needed to make 90°. Thus, the complement of 42° is 48° since ...
Oval finding arc length and radius of 4 sections10/13/2010
  Q: Need the formula and a sample of the problem for getting the arc lenght and radius for an oval that ...
  A: To find the length of the outside, see the article http://en.wikipedia.org/wiki/Ellipse and almost ...
Geometric Problem Solving10/12/2010
  Q: A square and a rectangle share the same perimeter. If the height of the rectangle is twice the ...
  A: The square is AxA and the rectangle is HxV. The perimeter is P on both of them. The perimeter of ...
scale factor10/12/2010
  Q: I was told to measure the walls and floors of the main floor of my house and then do scale ...
  A: If standard graph paper (8.5" x 11") is used and this was for a floor plan, then I would used 1" = ...
Triangle calculation10/11/2010
  Q: If one has a right triangle and the only known is the height of the triangle that will vary and , ...
  A: Let the height be h, which is usually put on the y-axis when graphing. The width w, which is ...
Geometry10/2/2010
  Q: Ok i have two questions: 1 when is it possible to use the law of detachment 2 when is it possible to ...
  A: Detachment: If p→q is a true statement and p is true, then q is true. Syllogism: ...
segment addition postulate9/23/2010
  Q: s is between t and v. R is between s and t. T is between r and q. QV= 23, QT= 8, and TR= rs sv. Make ...
  A: So the line has the points Q, T, R, S, and V, in that order. The pieces would be QT, TR, RS, and ...
Maths9/22/2010
  Q: Right I have a question to do with volume of cylinders but i'm stuck, in my book it says the volume ...
  A: If the cyllinder is laying down, the volume is pi*r²*w, where r is the radius f the circle and w is ...
Finding Z9/10/2010
  Q: So there is the basic LM + MN = LN problem LM= z-3 MN= z+4 LN= 4z+15 what is z?
  A: Put the values into the equation given and solve for z. That is, z-3 + z+4 = 4z+15, and solve for z. ...
geometry8/31/2010
  Q: If two sides of a field were increased by five feet, the area of the field would increase by 245 ...
  A: The field is L by W. The area is LW. Now if the sides were increased by 5, the area would be ...
2foot round circle6/30/2010
  Q: I need to know how many feet are in a two foot round circle? Thank you Kristen
  A: By "two foot round circle", it sounds like the circumference is two feet. Is there supposed to be a ...
triangles within parrallelogram6/29/2010
  Q: Sir if you divide a parrallelogram into two triangles using the diagonal,are not the two triangles ...
  A: Seaking more in terms of geometry, they have all sides the same since the diagonal of a ...
Trigonometry6/21/2010
  Q: How can I find the values of trigonometric ratios of all angles like sin 23degrees or tan 59.45 or ...
  A: If you have a protractor, draw angles of these sizes. Make a right triangle with the right angle on ...
math question for work6/18/2010
  Q: i am a soldier in iraq at the moment i am in charge of a fuel point and i have a cylinder tank that ...
  A: If the diameter of the tank is 10', the radius is 5'. The circle is sideways (right?), so the area ...
Elementary Concepts6/15/2010
  Q: "Sir , I am a high school student . But right from my childhood I was having a question in my mind ...
  A: I just thought of a different approach. Look at a number line in the hall. Mark some point on the ...
geometry6/15/2010
  Q: how do we name an angle?
  A: In geometry, an angle is usually named as <ABC, where A is on one straight side and C is on the ...
Elementary Concepts6/13/2010
  Q: "Sir , I am a high school student . But right from my childhood I was having a question in my mind ...
  A: Negative and positive numbers can be thought of as money. This seems to be the best way to do it. ...
Geometry 10th grade Similar triangles6/8/2010
  Q: Find the perimeter or given triangle. KLM if JHG~KLM, KM=6, HJ=3, JG= 4, and GH=6. The biggest ...
  A: The sides on JHG are 3, 4, and 6. This means its perimeter can be found as 3+4+6 (which you can do), ...
Coordinate Geometry6/4/2010
  Q: The set of lines ax + by + c = 0 where 3a + 2b + 4c = 0 is concurrent at which point ?
  A: To be concurrent, put both of them in the form of -c = .... For the 1st line, -c = ax + by. For the ...
Trigonometric ratios5/30/2010
  Q: I know that when angles changes, ratio of trigonometric functions changes. For ex. sin(t)= 4/5 or ...
  A: If sin(A) = 0, 1, or √2/2, the angle can be found. For other values of sin(), cos() can be ...
Evaluating pi value5/30/2010
  Q: In Archimedes method of evaluating the pi value, a hexagon is drawn inside a circle made up of 6 ...
  A: Look at one side of a hexagon. It has two endpoint that are on the circle. It is known that the ...
Analytical5/19/2010
  Q: AB is a variable point sliding between the co ordinate axes in such a way that A lies on x axis and ...
  A: Since A is on the x axis and B is on the y axis and P is a point such that PA = b, PB = a, and AB = ...
Geometry Help5/18/2010
  Q: I have these two questions on my homework and I honestly just don't even know how to solve them. I ...
  A: 24. It looks upsidedown with small font, but I can still read it. The height of E is the same as the ...
Geometry5/13/2010
  Q: 1) Find the volume of a right cone with radius 6cm and height 11cm. Leave answer in terms of pi. ...
  A: 1) V = πr²h where r is the radius and h is the height. 2) C = 2πr where C is the ...
volume of cylinder(sort of)5/10/2010
  Q: Scott I have a question that I'm sure will pose very little challenge for you, but I am hoping, ...
  A: The volume of a cone is bh/3 where b is the area of the base and h is the height. One way to view it ...
geomerty-simplifying radicals5/9/2010
  Q: How do you simplify square root of 200?
  A: The factors of 200 are 2, 2, 2, 5, and 5 (2*2*2=8, 5*6=25, 8*25=200). There are 2-2's and 2-5's with ...
math help5/9/2010
  Q: ... The question says: A 12 ft rope attached to the top of the mast of a sailboat is fastened to a ...
  A: Since the forms a right triangle with the mast as the vertical line and the line from the base of ...
conic sections puzzler5/6/2010
  Q: I am stumped on a conic sections problem. I am fouling up the algebra somehow, so I'm not getting ...
  A: The original problem is x² + y² + 4y + 2x - 20 = 0. This can be changed to x² + 2x + __ + y² + y + ...
PYTHAGORAS THEOREM RELATED WORD PROBLEM5/4/2010
  Q: The fol lowing idea is taken from [6]. What is the smallest number of matches needed to form ...
  A: Here is a list of the first few Pythagorean triangles: ( 3 , 4 , 5) ( 5, 12, 13) ( 7, 24, 25) ( 8, ...
PYTHAGORAS THEOREM5/4/2010
  Q: HOW many Pythagoras irrational numbers exist ?.Are there any more than square route of 2.
  A: You can find information on irrational numbers www.mathsisfun.com/irrational-numbers.html As found ...
math5/2/2010
  Q: Alex must wrap two boxes. Both boxes are right rectangular prisms. The smaller box has a length of ...
  A: If the smaller box has length 12, the width is 12x and the height is 12y. If the larger box has ...
PYTHAGORAS THEOREM4/30/2010
  Q: Can you please answer the following questions on Pythagoras theorem: 1.Can you show any proofs of ...
  A: 1. There is a proof that is known as 'Garfield's Proof'. It is here: ...
Why are they similar?4/28/2010
  Q: Why are two isosceles triangles with congruent vertex angles similar?
  A: That was the answer to the wrong question. If the vertex angles are similar, the other angles must ...
radius of circle4/27/2010
  Q: Two circles of radii 36 and 9 touch each other externally. What is the radius of the circle touching ...
  A: I'm not sure I understand the problem, but it looks like there are two circles which are tanget. ...
geometry4/22/2010
  Q: how do you construct a rhombus, Isosceles Trapezoids, kite using a compass and straightedge, not a ...
  A: A rhombus is a quadralateral with sides of equal length. Pick a point. From that point, use a ...
Geometry4/20/2010
  Q: My child is struggling w/ Geometric word problems. The problem states " The base of a triangle is ...
  A: It is known that the area of a triangle with base b and height h is A = bh/2. We are given that ...
geometry4/14/2010
  Q: A triangular pyramid has an isoceles triangle as its base and a volume of 32cm3. Its base side ...
  A: The volume of a pyramid has the equation hA/3, where h is the height and A is the base area. The ...
Angles with Trig4/9/2010
  Q: I have 2 questions 1. Solve (3sin(squared)4x)= (cos4x - 1) given that 0<= x < 360. 2. Solve ...
  A: 1. 3sin²(4x) = (cos(4x) - 1) given that 0 <= x < 360. It is known that sin²x+cos²x=1, so 3sin²(4x) ...
geometry4/9/2010
  Q: which triangle is isosceles? a.triangle FGH with vertices F(-1,-5),G(-3,4)and H(5,2) b.triangle RST ...
  A: To be isosceles, two of the sides must be equal. To find the square of the length of each side, take ...
Math dilemma3/30/2010
  Q: (C) and (C') are two circles of respective centers O and O' and of respective radii R and R'. These ...
  A: The line goes through A. It forms 2 triangles. One is triangle OBA and the other is triangle O'B'A. ...
maths3/28/2010
  Q: what will be the area and diagonal of the shadow of a board in the east west plain that is 10 metre ...
  A: It is in the form of a parallelogram, with the width the same as width as the sign, so the width is ...
Geometry3/24/2010
  Q: The altitude of an equilateral triangle is 18 inches. Find the length of a side?
  A: An equilateralt triangle has all sides equal. This means that with a line straigth up the middle, ...
maths3/22/2010
  Q: why do we need to know about maths.
  A: Because math is used in almost every profession there is and comes in handy. Nowadays it can be ...
Quadrilateral and Triangle.3/22/2010
  Q: What is the area of the quadrilateral ABCE if BD = 8, AB = 6, and ED = 5? (Figure not drawn to ...
  A: At first I assigned lengths to the two lines in the middle and the top line and the bottom line on ...
geometry3/18/2010
  Q: I do not know where to begin to start to figure this out can you plese help me. A certain pentagon ...
  A: The sum of the angle in a n-gon is (n-2)*180°. This can be seen to be true since a triangle has 3 ...
scale factor3/16/2010
  Q: When the lengths of all dimensionsof a solid figure are multiplied by a scale factor, the volume is ...
  A: It says that if the length in each direction of a solid is multiplied by the same factor, the volume ...
Question Regarding Induction3/6/2010
  Q: I found this problem and its solution which is supposed to be wrong for some reason. Could you ...
  A: The induction proof would say assume it is true at n = 1, and it is. The next step says that it is ...
Geometry3/4/2010
  Q: What is the shape with the most sides?
  A: Here is a list of names for some of the n sided figures : ...
Inequalities in triangle3/4/2010
  Q: Last time I asked you a question - " Prove that the sum of the distances of any point , within a ...
  A: Forget what I said before; I remember it vaguely, but lets not even go ther. I just figured it out! ...
Calculate parts3/3/2010
  Q: I'm trying to calculate how many parts will fit in an drum. It's not really homework related but ...
  A: If the drum is 14" wide, that is a 7" radius. The cross sectional area is a circle with area ...
geometry3/2/2010
  Q: make a conjecture about the ratio of the conjecture from the vertex to the distance to the length of ...
  A: From what I understand, you want a conjecture about how far it is to the median given the length of ...
algebra2/24/2010
  Q: A table shows that 8 red 19 blue 29 yellow and 23 green marbles were picked randomly fom a bag and ...
  A: There are 40 marbles in the bag of each color, which makes 4*40=160 marbles. Of the 8+19+29+23=79 ...
Conics2/23/2010
  Q: Hey there, Um, I was wondering if you could explain me the steps into transforming a conic into ...
  A: It is almost in standard form. The standard form s Ax² + Bx + Cy² + Dy + Exy + F = 0. If they say ...
math2/18/2010
  Q: describe the symmetric property as it applies to SEGMENTS
  A: If a line is cut in half, both segments of the line are equal. A piece of a bigger shape is a ...
geometry2/17/2010
  Q: Ben makes a globe that has a radius of 6 inches. Glen uses a scale factor of 3 to make a larger ...
  A: The derivative of distance is speed, and the derivative of speed if acceleration. With spheres that ...
geometry2/17/2010
  Q: Ben makes a globe that has a radius of 6 inches. Glen uses a scale factor of 3 to make a larger ...
  A: The surface area of a globe is 4πr². If r is multiplied by 3, we now have the surface area ...
help?!2/9/2010
  Q: Find the lateral area and surface area of a rectangular prism with a length of 18, width of 12 and ...
  A: The rectanglular prism has 6 sides. Now on the surface, 2 of the sides are 18x12, 2 of them are ...
math2/9/2010
  Q: A rectangular park is 15 kilometers long and 8 kilometers wide. Ben walked a diagonal path from one ...
  A: Ben walked straight along the diagonal. That means his distance was shorter and that he walked ...
algebra2/4/2010
  Q: A movie is 2 1/4 hours long. When the movie begins, there are 64 people in the theater. In the ...
  A: We start with 64 people. Now 1/8 of the people is 8 people, so 3/8 of the peopleis 3*8 = 24. Since ...
Rectangles and Area2/3/2010
  Q: A playground is rectangular in shape and has an area of 225 feet. The number of yards on each side ...
  A: The smallest area can be found with calculus to be a square. Let w be the width. Since the area is ...
Diagonals1/28/2010
  Q: how many diagonals can be drawn in a polygon with a) 17 sides b) 23 sides
  A: Note that the diagonal can't be drawn to the same corner or either adjacent corner. The number of ...
Solving equations involving vertical angles1/27/2010
  Q: im doing math online and i have to teach myself how to do the math but i cant figure out how to ...
  A: I know two vertical angles share the same vertex. This means that they are equal. I don't know what ...
Geometry1/26/2010
  Q: How do I do the work for finding an area of a square with side 6?
  A: The area of a rectangle is the height times the width. A square is a special rectangle where the ...
chords with rotation in side plane1/24/2010
  Q: I want to solve for angle to rotate circle about front plane resulting in known radius when viewed ...
  A: It sound like we're rotating a plane in a cyllinder, which is equivalant to rotating a line in a ...
I am doing a project for Geometry class1/20/2010
  Q: Can you please list jobs that involve the use of polygons?
  A: Enineers, landsapers, constructionists, physicists, mathematicians, and chemists are some of the ...
surface areas1/20/2010
  Q: the volume of a cube is 8 times less than the volume of a 2nd cube. what is the relationship of ...
  A: If the volume is 8 times less, it is known that 8 = 2³, so the bigger cube has twice the side length ...
Geometry1/19/2010
  Q: How do Engineers use geometry?
  A: In doing drawings of what is being produced. When several things are manufactured, a drawing is ...
math1/18/2010
  Q: is the radius can be equal the diagonal of rectangle draw inside one half of a circle?
  A: I'm not sure I understand the question, but I'll take a shot at it. Yes, if the radius is the ...
geometry question1/18/2010
  Q: okay, I have a triangle and the bottom left angle is (3x-10) and the top angle is 2x and the bottom ...
  A: If two lines in a triangle are congruent, the opposing angels are congruent. One of these angles is ...
perimeter of triangle1/8/2010
  Q: If you have a triangle with a base of 14inches and height of 12 inches but you don't know the other ...
  A: The area A of a triangle is A = bh/2 where b is the base and h is the height. If the area is 84 and ...
question1/7/2010
  Q: The area of a TV screen is 576 square inches. If the width of the screen is 32 in., what is the ...
  A: The area is WH where W is the width and H is the height, so we have A = WH. The number 576 is A, ...
math1/6/2010
  Q: Ben has a rectangular canvas that is 180cm long and 150 cm wide. He divides the canvas into ...
  A: That question is the same as asking for the greatest common divisor of 150 and 180. It is known that ...
Science fair project answers1/5/2010
  Q: I am doing a science fair project. My expiriment is about rolling balls down a ramp that is ...
  A: There are some formulas that would be handy. The acceleration a is g•sin(A), where g is gravity and ...
theorems12/13/2009
  Q: Is there something called the acute angle theorem and the obtuse angle theorem?
  A: I don't remember ever seeing such a theorem. An acute angle is less than 90° and an obtuse angle is ...
shadow of a tree12/11/2009
  Q: how do u find the length of the shadow if you have the height of the tree the lamp post that casts ...
  A: Draw by Hand ------------------------- On graph paper, put the lamp post on the y axis with the base ...
Locus12/9/2009
  Q: Points T and V are fixed. Find the locus of P such that segment PT is perpendicular to PV
  A: Points T and V are at either end of the diameter of a circle. Choose any point P on the circle and ...
math12/1/2009
  Q: the difference between the supplement and the complement of an acute angle is what??
  A: Let the angle be A. Let the supplement be B. Then A + B = 180°, so B = 180° - A. Let the angle be ...
geometry11/26/2009
  Q: Willson...I am a machinist attempting to mill out a hexagon from cylindrical piece. The work has a ...
  A: If you are trying to mill out a hexagon, and since there are 360° in a circle, that would be 360°/6 ...
square footage11/23/2009
  Q: I want to add lawn turf to my back yard but it is in the form of a half circle. It is 47ft. long and ...
  A: This wouldn't really be a half circle, but a half an ellipse. Technically, that is, though even ...
Question11/21/2009
  Q: Divide a circle into 2009 equal arcs with consecutive points A(1) , A(2) ,..., A(2009) and join with ...
  A: Each line skips over 6 points in the middle, and each point has 2 lines that is crosses. There are ...
Statements and Reasons help11/18/2009
  Q: I am having a very hard time figuring out these proofs. I have no idea how to do them. I've ...
  A: L is in the midpoint of KM, so KL = LM. M is in th midpoint of LN, so LM = MN. Taking both ...
question11/10/2009
  Q: Is is possible to find the volume of an object that is suspended in a sphere is the volume of the ...
  A: If the spere is fillable with water, the volume can be found by filling the spere with water and ...
circle-octagon problem11/8/2009
  Q: i have a problem in which i need to find the diameter of the circle in which i can inscribe an ...
  A: The height of a right triangle is 150cm. The base is the length of a side. The diameter of the ...
geometry11/5/2009
  Q: The measure of an angle is 3 times as great as its compliment. Which is measure of smaller angle? ...
  A: The measure of the angle is X. The angles compliment is 90°-X. The problem states that X = ...
Geometry Story Problem10/31/2009
  Q: In an isosceles trangle, two sides are equal. The third side is 50% of the length of one of the ...
  A: Give one of the two sides that are equal length x. The length of the other side that is the same ...
making a problem with the properties of lines and angles10/30/2009
  Q: is it impossible to make and solve a problem that uses at least six lines, one set of parallel ...
  A: Lets play pick up sticks. Suppose they all dropped. In the way they dropped, two of them were ...
question10/27/2009
  Q: Haw to find the volume of irregular shape
  A: Option 1 Use calculus and integrate between curves if you know the equation to approximate the ...
geometry - proofs10/22/2009
  Q: I need help in writing proofs. I don't have a clue as to how to write them out. I can look at a ...
  A: Lets call the angle in question A. The angle write below it is B, and it is known that since A+B ...
geometry10/20/2009
  Q: 2 vertical angels in an X shape, one angle is 3x and the other angle is (80-x). Find the value of ...
  A: If you have 2 vertical angles and together they measure X, then that is the sum of the measurements ...
geometry10/15/2009
  Q: need examples of adjacent angles am confused how to tell adjacent angles apart from non adjacent
  A: Adjacent angles means two angles that share a line with each other. If ABC is 30° and CBD is 50°, ...
Geometry10/13/2009
  Q: How does the number of diagonals from each vertex compare to the number of sides?
  A: In a triagle, there are none. In a square, there are two. In a pentagram, there are five. In a ...
Geometry10/12/2009
  Q: . If each dimension of a box is quadrupled, how are the surface area and the volume affected?
  A: Each dimension is quadrupled means each dimension, say L, W, and H, become 4L, 4W, ahd 4H. The ...
geometry10/12/2009
  Q: What is the diameter of a circle with the radius of 58 inches.
  A: The diameter of a circle is the distance from one side to the other through the center. Picturing ...
6th grade geometry10/6/2009
  Q: Suppose you select a number in the interval from 1/2 to 3/4 and a number in the interval 3/4 to 1 ...
  A: The least is found by choosing the least in each interval. That is, take the 1st as ¼ and the 2nd as ...
geometry- triangle with quadratic measurements10/5/2009
  Q: triangle ABC, the exterior angle of C (BCD) measure is 3X^2+8X-1. Angle A measure is 2X^2+7 Measure ...
  A: By the exterior, do you mean the the supplement of that angle? That would mean the angle C was 180 - ...
Deductive Reasoning10/2/2009
  Q: How can i learn everything in Geometry for my credit recovery class? I take the notes and it still ...
  A: Talk to a student counselor and let them know that you took notes. Also, it might be good to get ...
math9/29/2009
  Q: LHS Sin2A+sin2B+sin2C = 2SinA cosA+2sin(B+C).cos(B-C) =2sinAcosA+2sinA.cos(B-C) ...
  A: The equation is sin(2A) + sin(2B) + sin(2C) = 2•sinA•cosA + 2sin(B+C)•cos(B-C). First, it is a ...
Math9/28/2009
  Q: what is a list of jobs that use the knowlege of the surface area/ volume of a shere?
  A: I don't know of any particular job that uses this, but it is sometimes needed in various places. The ...
More questions!9/28/2009
  Q: These questions are dealing with "solids" of geometry. There's a lot of questions, I hope you can ...
  A: 1) If d = 4, 2r = d => r = d/2 = 4/2 = 2. The height h is 15, so take 15c, where c is the length of ...
Circles and solids.9/25/2009
  Q: How would I find the chord length of a segment if the radius of the curvature is 10 ft. and the ...
  A: I forgot to send the picture with my response. I wish that could be attached at first, but I have to ...
Geometry help9/25/2009
  Q: 3 times the measure of an angle is twice of it's compliment
  A: The angle is X. The complemt is 90-X. We are given that 3X = 2(90-X). This means that 3X = 180 - ...
ratios??9/24/2009
  Q: hey, so I failed geometry my tenth grade year and now I have to make it up online simply because I ...
  A: I have no way of accessing that picture. When I want to send pictures, they need to be put in a JPG ...
In need of help.9/23/2009
  Q: So, I got the first question down. I got to this problem, and my mind literally went blank. This ...
  A: Yes, DE + EF = DF, so just put in the values. DE is 5x + 13, EF is 6, and DF is 7x - 25. That ...
Geometry9/22/2009
  Q: hey, thank you ahead of time for your help. I've been stuck on this problem: a pyramid has a slant ...
  A: The area of a pyramid is known to be Ah/3 where A is the area of the base and h is the height. The ...
geometry9/16/2009
  Q: Learning conjectures; Question I don't get. Write a rule in terms of "n" for the sum of the first ...
  A: The list of positive, even integers is 2, 4, 6, 8, 10, 12, ... The sum is 2, 2+4=6 2+4+6=12 ...
Geometry9/15/2009
  Q: How would you find the length of the segment using the Segment Addition Postulate to solve for x ...
  A: If we know the length of HJ and JK, add them up and you get the length of KH. The lengths or HJ = ...
equations!9/13/2009
  Q: There are a few questions. 1. Point B is between A and C. If AC=11x-20, AB=3x-8 and BC=6x+4 x= AC= ...
  A: I will use L() as the length of a line segment. 1. It is nown that L(AC) = 11x-20, L(AB) = 3x-8, and ...
trigonmetry9/10/2009
  Q: prove that (sinA.sin2A+sin3A.sinA6A)/(sinA.cos2A+sin3A.cos6A)=5tanA ...
  A: I'm not sure what sinA6A is. Is it suppose to be sin6A? I don't see how that is possible. It looks ...
Segment Addition Postulate.9/9/2009
  Q: I have a question and it states.. R,S, and T are collinear. S is between R and T. RS=2w+1, ST= w-1, ...
  A: Let XY, YZ, and XZ be lines. The Segment Addition Postulate says that if XY + YZ = XZ, then Y is ...
Pythagorean Theorem9/8/2009
  Q: I need some help on the steps to find the missing sides of a rt triangle c= 10, a = x-2 and b = x-4.
  A: For a right triangle, we know that a² + b² = c². Putting in what we're given for a, b, and c gives ...
pump tank9/8/2009
  Q: A pump tank has a diameter of 40 inches.To keep the pump from short-cycling,the floats must be ...
  A: Since the diameter is 40 inches, the radius is 20 inches. That makes the area πr² in.², which ...
Geometry9/7/2009
  Q: Prove that the Median drawn from the vertex to the base of an isosceles triangle bisects the ...
  A: The triangle is an iscoeles triangle, and by definition, two of the sides are equal. Since the line ...
math9/5/2009
  Q: sin(2A)=2sinA cosA =(2sinA cos^2A)/cosA =2tanA/sec^2A =2tanA/1+tan^2A sir please explain it
  A: There are some trig laws that are proved in almost any book on trig. The first one is sin(2A) = ...
Geometry9/4/2009
  Q: find the value of the variable. ab=3x-4,ac=40,ab=bc
  A: The equations are (1) ab=3x-4, (2) ac = 40, and (3) ab = bc. Looking at 3, if b is not 0, we know ...
geometry conjectures9/4/2009
  Q: My teacher didn't explain conjectures to me and then I got thisThe sum of two numbers is always ...
  A: A conjecture is any statement that is either true or false. If one statement is found that is false, ...
convert cubic meter to cubic foot9/3/2009
  Q: how to convert cubic meter to cubic foot
  A: I believe a meter is 39.37 inchese. Divide this by 12 to convert that to feet. It should be around ...
segment addition postulate9/2/2009
  Q: point J is between H and K on line segment HK. Use the given information to write an equation in ...
  A: I didn't find an integer solution, but I did find that given a value of x, the equations can be ...
Math problem9/2/2009
  Q: Suppose j is between H and K. I have to use segment Addition Postulate to solve for x.Then I have to ...
  A: I didn't find an integer solution, but I did find that given a value of x, the equations can be ...

All Questions in This Category

Geometry

All Answers


Answers by Expert:


Ask Experts

Volunteer


Scott A Wilson

Top Expert on this page

Expertise

Whatever questions you ask except how to trisect an angle.

Experience

I have been assisting people in Geometry since the 80's.

Education/Credentials
I have an MS at Oregon State and a BS at Oregon State, both with honors.

Awards and Honors
I was the outstanding student in high school in the area of geometry and math in general.

Past/Present Clients
Over 7,500 people, mostly in math, with almost 400 in geometry.

©2012 About.com, a part of The New York Times Company. All rights reserved.